Chronoscalar Field Theory (CFT) III: Global Parameter Constraints from SPARC Rotation Curves, CLASH+JWST Lensing, Bullet Cluster Dynamics, and High-Redshift JWST Mergers

Abstract

We present a unified, multi-dataset likelihood analysis of Chronoscalar Field Theory (Chronoscalar 3 Field Theory), based on the volume-coherent Quantum Coherent Inertial Force (QCIF) devel4 oped in Papers I–II. All systems—galaxies, relaxed clusters, major mergers, and dissipationless 5 collisions—are governed by the same acceleration law aeff QCIF(r) = A0   r rc  1/2 , rc = 10 kpc, 6 where A0 is the effective acceleration at the reference radius rc. The microphysical prediction 7 for A0 is A0 = 3 2 κ v4 ℓ3/2 P r−5/2 c , 8 with v the Chronoscalar vacuum scale, κ a dimensionless coupling, and ℓP the Planck length. 9 Using 175 SPARC rotation curves, 25 CLASH clusters with JWST lensing, Bullet Cluster 10 dissipationless offsets, and JWST reconstructions of El Gordo and four additional z > 0.6 11 mergers, we jointly constrain the parameters (v, κ) entering A0. A global Markov Chain Monte 12 Carlo (MCMC) analysis shows exceptional consistency: each dataset individually prefers A0 ∼ 13 10−10 ms−2. The joint posterior yields A0 = (1.17 ± 0.08) × 10−10 ms−2 (68% CL), 14 with all datasets mutually consistent at the ≲ 1.2σ level. The corresponding microphysical 15 ranges are v = (0.8–2.2) × 1012 GeV, κ = (1.0–4.6) × 10−3. 16 Chronoscalar Field Theory simultaneously reproduces (i) galaxy rotation curves, (ii) relaxed 17 cluster mass profiles, (iii) Bullet Cluster dissipationless offsets, and (iv) the universal rise– 18 plateau cumulative mass profile seen in El Gordo, MACS J0416, Abell 2744, and PLCK G287. 19 We outline decisive tests with JWST Cycle 4, Euclid Year 1, and Rubin/LSST that can confirm 20 the universal r1/2 acceleration law or falsify Chronoscalar Field Theory outright.

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